pub const SMALL_FACTORIAL: [u128; 35] = [
1,
1,
2,
6,
24,
120,
720,
5040,
40320,
362880,
3628800,
39916800,
479001600,
6227020800,
87178291200,
1307674368000,
20922789888000,
355687428096000,
6402373705728000,
121645100408832000,
2432902008176640000,
51090942171709440000,
1124000727777607680000,
25852016738884976640000,
620448401733239439360000,
15511210043330985984000000,
403291461126605635584000000,
10888869450418352160768000000,
304888344611713860501504000000,
8841761993739701954543616000000,
265252859812191058636308480000000,
8222838654177922817725562880000000,
263130836933693530167218012160000000,
8683317618811886495518194401280000000,
295232799039604140847618609643520000000,
];
pub const SMALL_ODD_SWING: [u128; 129] = [
1,
1,
1,
3,
3,
15,
5,
35,
35,
315,
63,
693,
231,
3003,
429,
6435,
6435,
109395,
12155,
230945,
46189,
969969,
88179,
2028117,
676039,
16900975,
1300075,
35102025,
5014575,
145422675,
9694845,
300540195,
300540195,
9917826435,
583401555,
20419054425,
2268783825,
83945001525,
4418157975,
172308161025,
34461632205,
1412926920405,
67282234305,
2893136075115,
263012370465,
11835556670925,
514589420475,
24185702762325,
8061900920775,
395033145117975,
15801325804719,
805867616040669,
61989816618513,
3285460280781189,
121683714103007,
6692604275665385,
956086325095055,
54496920530418135,
1879204156221315,
110873045217057585,
7391536347803839,
450883717216034179,
14544636039226909,
916312070471295267,
916312070471295267,
59560284580634192355,
1804857108504066435,
120925426269772451145,
7113260368810144185,
490814965447899948765,
14023284727082855679,
995653215622882753209,
110628135069209194801,
8075853860052271220473,
218266320541953276229,
16369974040646495717175,
861577581086657669325,
66341473743672640538025,
1701063429324939500975,
134384010916670220577025,
26876802183334044115405,
2177020976850057573347805,
53098072606098965203605,
4407140026306214111899215,
209863810776486386280915,
17838423916001342833877775,
414847067813984717066925,
36091694899816670384822475,
3281063172710606398620225,
292014622371243969477200025,
6489213830472088210604445,
590518458572960027165004495,
25674715590128696833261065,
2387748549881968805493279045,
50803160635786570329644235,
4826300260399724181316202325,
1608766753466574727105400775,
156050375086257748529223875175,
3184701532372607112841303575,
315285451704888104171289053925,
12611418068195524166851562157,
1273753224887747940852007777857,
24975553429171528252000152507,
2572482003204667409956015708221,
197883231015743646919693516017,
20777739256653082926567819181785,
392032816163265715595619229845,
41947511329469431568731257593415,
1553611530721090058101157688645,
169343656848598816333026188062305,
3078975579065433024236839782951,
341766289276263065690289215907561,
48823755610894723670041316558223,
5517084384031103774714668771079199,
96790954105808838152888925808407,
11130959722168016387582226467966805,
383826197316138496123525050619545,
44907665085988204046452430922486765,
761146865864206848244956456313335,
90576477037840614941149818301286865,
6038431802522707662743321220085791,
730650248105247627191941867630380711,
11977872919758157822818719141481651,
1473278369130253412206702454402243073,
47525108681621077813119434012975583,
5940638585202634726639929251621947875,
94295850558771979787935384946380125,
11975573020964041433067793888190275875,
11975573020964041433067793888190275875,
];